I have a Zap Xebra (which, of course, they're not making anymore). I love it. BUT, with these kinds of cars comes a lot of tinkering and very few frills. I think that as "real" EVs come down in price over the next year or two, you'll start seeing the "little cars" but not really like you're thinking. The Xebras and Gems and Zenns are just too limited in practicality to be widely accepted.
Consider the old Geo Metro, the super-cheap little economy car that was essentially a "throw it away after 60k miles and buy a new one" model. They were very popular. I think the same thing will happen with EVs, but rather than a 40 mile range lead-acid low/medium speed vehicle, it will be a 80-100 mile range small car with a lithium pack. Basically a sub-compact version of the Leaf, with less power but the same range, for the $12k-$15k buyer.
But, in order to have that happen, the technology needs to be proven (to the masses, not us early-adopters) and the battery prices need to come down. It will happen, and quite quickly, I hope, but we're just not there yet. Almost, though, look at some of the EVs that are in the works.
I agree with palmermd. Lead-acid is [thankfully] on its way out. Other battery technologies are dropping in price to the point where it just doesn't make sense to deal with lead anymore. I'll be keeping my Xebra for a few more years, but if I have to replace the pack again it will either be with lithium or I'll just replace the whole car instead.